Let \( f^{\prime}(\sin x)<0 \) and \( f^{\prime \prime}(\sin x)>0 \forall x \in\left(0, \f...

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Let \( f^{\prime}(\sin x)<0 \) and \( f^{\prime \prime}(\sin x)>0 \forall x \in\left(0, \frac{\pi}{2}\right) \) and \( g(x)=f(\sin x)+f(\cos x) \)
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